Question

Apply the Properties of Integer Exponents to generate an equivalent expression to 80⋅ 435−2
with only positive exponents, then solve the expression. (1 point)

Answer 1

To generate an equivalent expression with only positive exponents, we can use the property of negative exponents:

a^(-n) = 1/(a^n)

Applying this property to the given expression (80 * 435^(-2)), we can rewrite it as:

80 / (435^2)

Now we can solve the expression:

80 / (435^2) = 80 / (435 * 435) = 80 / 189,225

To simplify further, we can divide 80 by 189,225:

80 / 189,225 ≈ 0.0004221879679738925